Question

Work out the area of Triangle ABC

Answer 1

The main idea is using the Pythagorean formula to find the length of line segment $DB$.

Alr so you use the formula $A^2 + B^2 = C^2$

$C^2$ is already given and is $2\sqrt{5}$

and $A^2$ is $3\sqrt{2}$

So using algebraic rules you'll get $B$ as:

$\sqrt{2}$

Now using the formula: $\frac{1}{2} b * h$, you can find the area of tri ABD and CBD which would be $3$ and $1$ so add them up and you get $4$!